## College Algebra (10th Edition)

(answers vary) Three additional points on the line: $(2, 6)$ $(3, 10)$ $(4, 14)$
RECALL: The slope $m$ is equal to $\dfrac{\text{rise}}{\text{run}}$, and can be interpreted as the average increase in $y$ for every one unit increase in $x$. A slope of $4$ means that for every increase of 1 unit in $x$, the value of $y$ increases by $4$ units. Thus, to find other points on the same line as the point $(1, 2)$, just add $1$ to the value of $x$ and $4$ to the value of $y$ to obtain: $(1+1, 2+4) = (2, 6)$ $(2+1, 6+4) = (3, 10)$ $(3+1, 10+4) = (4, 14)$ Plot the points and connect them using a line. (refer to the image below)